Maybe Chuck Dixon's Nightwing might interest you? There's a fair amount of out of costume soap opera shenanigans, also a lot of neat world building as Dixon carves out Nightwing's own little corner of the DCU with his own villains.
@justthatkid: Actually Hulk was the first MCU character, not IM. Also while Cap is the leader in combat and what not hes not the "poster boy" of the team and not even an original founding member. IM on the other hand is and always has been the face of the Avengers and a founding member.
Superman just happens to be both the team leader and face of the team. Cap is more like Aquaman or WW type character where hes the combat leader.
Dude what avengers comics have you been reading? Cap is absolutely the face of the avengers, seriously google Avengers covers who do you see in the spotlight more than anyone else?
While Gotham is the most obvious answer I think it's worth noting in Nightwing's old series it was said anything too depraved or disgusting for Gotham ended up in Bludhaven and that while in Gotham the corruption rose from the streets upwards in Bludhaven it trickled down from the mayors office. So bearing in mind that Bludhaven was created to be Gotham but Sh*tier I'm gonna go with Grayson's turf.